New
New
Year 5

Explain how to find all the factors of a number systematically

I can explain how to find all the factors of a number systematically.

New
New
Year 5

Explain how to find all the factors of a number systematically

I can explain how to find all the factors of a number systematically.

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Lesson details

Key learning points

  1. All numbers have themselves and 1 as factors.
  2. Listing factors in order helps identify all the factors for a given number.

Common misconception

Pupils do not know when to stop looking for more factors.

Build up finding factors of numbers systematically by arranging into rows and columns, starting with 1 row. Encourage pupils to generalise that when the number of rows becomes larger than the number of columns, you can stop looking for factors.

Keywords

  • Factor - Factors are whole numbers which exactly divide another whole number.

  • Systematic - Being systematic, means working in a set way, often according to a fixed plan.

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
What multiplication equation does this array represent?
An image in a quiz
4 × 2 = 16
Correct answer: 4 × 4 = 16
16 × 4 = 16
Q2.
What is the missing factor in this image?
An image in a quiz
Correct Answer: 10, ten
Q3.
Which of these are correct arrays for 12?
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q4.
Which of these make a rectangle with an area of 32 cm $$^2$$?
30 cm + 2 cm =
Correct answer: 4 cm × 8 cm =
Correct answer: 1 cm × 32 cm =
5 cm × 6 cm =
3 cm × 2 cm =
Q5.
Complete the missing factor: 12 × = 60
Correct Answer: 5, five
Q6.
Complete: 72 ÷ = 9
Correct Answer: 8, eight

6 Questions

Q1.
Look at the rectangle on the grid. What is being represented?
An image in a quiz
28 × 7 = 4
Correct answer: 7 × 4 = 28
Correct answer: 4 × 7 = 28
4 × 28 = 7
Q2.
Look at the rectangle on the grid. What other factor pairs would make a rectangle covering the same area?
An image in a quiz
20 and 8
Correct answer: 1 and 28
10 and 18
8 and 3
Correct answer: 2 and 14
Q3.
Which of these are factors of 48?
Correct answer: 1
Correct answer: 12
40
Correct answer: 48
96
Q4.
Which factor is missing from the factor bug?
An image in a quiz
Correct Answer: 10, ten
Q5.
What number is represented by the factor bug?
An image in a quiz
Correct Answer: 30, thirty
Q6.
What number is represented by the incomplete factor bug?
An image in a quiz
Correct Answer: 32